Mathematical Modeling and Validation of a Hexagonal Split Ring Resonator

The paper illustrates equivalent circuit model and validation of the same for a Hexagonal Split Ring Resonator (HSRR). The effective permeability and permittivity of the proposed H-SRR is calculated using NRW method and its effectiveness as artificial material is proved. The equivalent circuit of the resonator is modelled considering circular loop approximation and thus realizing the effective inductance. The effective capacitance is calculated considering hexagon as circular capacitor and gap is modelled as parallel plate capacitor. The proposed equivalent circuit is able to predict the resonant frequency with less than 2% error.